Question

You should be able to do the following problems:

Exercise 8.3 Problems 11 - 28

Hand in the following problems:

Problems 1 - 3 are to be solved by the method of infinite series. This means that you must obtain

a solution of the form Panx

n

. You must solve for an so that the sum solves the given differential

equation. Try to express your final answer in summation notation.

1. y

00− y = 0 where y(0) = y

0

(0) = 1.

2. y

00− 2xy0− 2y = 0 where y(0) = 1, y0

(0) = 0.

3. (1 − 2x)y

00− 4y

0= 0 y(0) = 0, y0

(0) = 2.

4. The following differential equation has a solution of the form Panx

n

. Calculate only the

coefficients a2, a3 and a4. (1 + x

2

)y

00− 2y = 0 y(0) = y

0

(0) = 1.

T-Mobile Wi-Fi令 10:56 AM くBack ma345.hw10.pdf aビ山 ma345_hw10 I: Series Solutions Read 8.2 and 8.3 You should be able to do the following problems: Exercise 83 Problems 11-28 Hand in the following problems Problems 1-3 are to be solved by the method of infinite series. This means that you mast obtain a solution of the form Σ@nr". You maust solve for an so that the sum solves the grven differential quation. Try to express your final answer in summation notation 1. -y-0 where y(o)-vo- 2. y"-2ry'-2y . 0 where V(0)-1,y(0)-0. 4. The following differential equation has a solution of the form Σ anr". Calculate only the coefficients a, a and a.(-2y-0 g(0) ()-1. 1 of 1 17 DashboardCalendar To Do Notifications Inbox

Answer 1

2 C 2 3-4 21g-4

21 41 그' 4-1 3 t S 4